Existence results for impulsive neutral differential and integrodifferential equations with nonlocal conditions via fractional operators
The authors consider a class of first order impulsive neutral differential equations as well as a class of first order impulsive neutral integrodifferential equations, both governed by nonlinear perturbations of a densely defined and closed linear operator generating an analytic compact semigroup, and subjected to nonlocal initial conditions. By imposing some technical conditions on the data and using Sadovskii's fixed point theorem, they prove some existence results which cover the case when the nonlinear part is defined on a fractional power of the linear part. An illustrative example is included.
scientific article; zbMATH DE number 5655208
scientific article